Question

I need help please. This is due in 40 minutes:(
Given the diagram below, solve for x and y.

Answer 1

x=14, y=37

Explanation:

We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:

Original Equation: (4y-10)°+3x°=180

New Equation: (9x+12)°+3x°=180

9x+12+3x=180

12x+12=180

12x=168

x=14

So x is 14

Because x=14, then y is:

4y-10+3(14)=180

4y-10+42=180

4y+32=180

4y=148

y=37

So y is 37